Skip to main content
SpringerLink
Log in

Degenerations of Horrocks-Mumford surfaces

  • Published:
Mathematische Annalen Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  • [A] Atiyah, M.F.: Vector bundles over an elliptic curve. Proc. Lond. Math. Soc.7, 414–452 (1957)

    Google Scholar 

  • [BHM] Barth, W., Hulek, K., Moore, R.: Shioda's modular surfaceS (5) and the Horrocks-Mumford bundle. Proceedings of the Tata conference on algebraic vector bundles over algebraic varieties. Bombay 1984, 35–106. Oxford: Oxford University Press 1987

    Google Scholar 

  • [ACGH] Arbarello, E., Cornalba, M., Griffiths, P.A., Harris, J.: Geometry of algebraic curves, Vol. I. Berlin, Heidelberg, New York: Springer 1984

    Google Scholar 

  • [F] Fulton, W.: Intersection theory. Berlin, Heidelberg, New York: Springer 1984

    Google Scholar 

  • [HM] Horrocks, G., Mumford, D.: A rank 2 vector bundle on ℙ4 with 15.000 symmetries. Topology12, 63–81 (1973)

    Google Scholar 

  • [H1] Hulek, K.: Projective geometry of elliptic curves. Astérisque137

  • [H2] Hulek, K.: Geometry of the Horrocks-Mumford bundle. Proceedings of the AMS summer institute at Bowdoin 1986 (to appear)

  • [HVdV] Hulek, K., Van de Ven, A.: The Horrocks-Mumford bundle and the Ferrand construction. Manuscr. Math.50, 313–335 (1986)

    Google Scholar 

  • [KF] Klein, F., Fricke, R.: Vorlesungen über die Theorie der elliptischen Modulfunktionen, 2. Bd. Stuttgart: Teubner 1892

    Google Scholar 

  • [L] Lange, H.: Jacobian surfaces in ℙ4. J. Reine Angew. Math.372, 71–86 (1986)

    Google Scholar 

  • [Sch] Schoen, C.: On the geometry of a special determinantal hypersurface associated to the Horrocks-Mumford bundle. J. Reine Angew. math.364, 85–111 (1986)

    Google Scholar 

  • [V] Vélu, J.: Courbes elliptiques munies d'un sous groupe ℤ/nℤ × μ n . Bull. Soc. Math. Fr. Mémo.57 (1978)

Download references

Author information

Authors and Affiliations

  1. Mathematisches Institut, Bismarckstrasse 1 1/2, D-8520, Erlangen, Federal Republic of Germany

    Wolf Barth

  2. Mathematisches Institut, Postfach 101251, D-8580, Bayreuth, Federal Republic of Germany

    Klaus Hulek

  3. School of Mathematics and Physics, Macquarie University, 2113, North Ryde, New South Wales, Australia

    Ross Moore

Authors
  1. Wolf Barth
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Klaus Hulek
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Ross Moore
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Barth, W., Hulek, K. & Moore, R. Degenerations of Horrocks-Mumford surfaces. Math. Ann. 277, 735–755 (1987). https://doi.org/10.1007/BF01457868

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01457868

Search

Navigation